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Finding the Third Proportional to 145,428.75 and 314,209.13

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Solution

The third proportional to 145,428.75 and 314,209.13 is: 678,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,428.75 : 314,209.13 = 314,209.13 : x
  2. Step 2: Convert to fraction form
    145,428.75/314,209.13 = 314,209.13/x
  3. Step 3: Cross multiply
    145,428.75x = 314,209.13 × 314,209.13
  4. Step 4: Simplify right side
    145,428.75x = 98,727,374,233.27
  5. Step 5: Solve for x
    x = 98,727,374,233.27/145,428.75
  6. Step 6: Final answer
    x = 678,871.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.